I've had to use the ebrake method before for a hill that was wayyyy too steep and a fence gate closed behind me.
You basically just let off the clutch and press on the gas until the car wants to move forward, then you let off the e brake and go without going backwards.
If you're on a steep hill, yes sometimes you need to use the handbrake to get moving. This had to be demonstrated when I got my licence, but to be fair some manual vehicles now have automatic hill start. Still a good technique to learn because it doesn't always activate.
We'd park my buddies Mustang on a hill wherever we went in case it wouldn't start. LOL, everyone made fun of him saying it was a Pinto. (<- it was this, but really, really shitty)